Kink-antikink collisions in a weakly interacting ${\varphi }^4$ model

Abstract

We study kink-antikink scattering in a one-parameter variant of the ${\varphi }^4$ theory where the model parameter controls the static intersoliton force. We interpolate between the limit of no static force (BPS limit) and the regime where the static interaction is small (non-BPS). This allows us to study the impact of the strength of the intersoliton static force on the soliton dynamics. In particular, we analyze how the transition of a bound mode through the mass threshold affects the soliton dynamics in a generic process, i.e., when a static intersoliton force shows up. We show that the thin, precisely localized spectral wall which forms in the limit of no static force, broadens in a well-defined manner when a static force is included, giving rise to what we will call a thick spectral wall. This phenomenon just requires that a discrete mode crosses into the continuum at some intermediate stage of the dynamics and, therefore, should be observable in many soliton-antisoliton collisions.

arXiv commentversion accepted in Phys. Rev. E

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• Fermionic spectral walls in kink collisions
• Spectral Walls at One Loop
• Sphalerons and resonance phenomenon in kink-antikink collisions
• Asymmetric scattering between kinks and wobblers
• Spectral walls in antikink-kink scattering in the ${\varphi }^6$ model
• Resonance structures in kink-antikink scattering in a quantum vacuum
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• Spectral wall in collisions of excited Abelian Higgs vortices
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